Statistical properties of Pauli matrices going through noisy channels

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dc.creatorAttal, Stéphane
dc.creatorGuillotin-Plantard, Nadine
dc.date2007-12-20
dc.date.accessioned2026-07-07T08:50:37Z
dc.date.available2026-07-07T08:50:37Z
dc.descriptionWe study the statistical properties of the triplet $(σ_x,σ_y,σ_z)$ of Pauli matrices going through a sequence of noisy channels, modeled by the repetition of a general, trace-preserving, completely positive map. We show a non-commutative central limit theorem for the distribution of this triplet, which shows up a 3-dimensional Brownian motion in the limit with a non-trivial covariance matrix. We also prove a large deviation principle associated to this convergence, with an explicit rate function depending on the stationary state of the noisy channel.
dc.identifierhttps://arxiv.org/abs/0712.3418
dc.identifierhttp://arxiv.org/abs/0712.3418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144658
dc.subjectMathematical Physics
dc.subjectProbability
dc.titleStatistical properties of Pauli matrices going through noisy channels
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